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2 years ago

11

95 people went to a convention in San Francisco. They took three large vans and 50 people traveled by car. How many people fit i

n each large van. Write an equation first, then solve

1 answer:

Verdich [7]2 years ago

4 0

Answer:

15

Step-by-step explanation:

95 - 50 = 45

45/3 = 15

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An analyst from an energy research institute in California wishes to precisely estimate a 99% confidence interval of the average

Lena [83]

Answer:

190

Step-by-step explanation:

Data provided in the question:

Confidence level = 99%

Therefore,

α = 1% = 0.01

[ from standard normal table ]

z-value for $z_{\frac{\alpha}{2}}= z_{\frac{0.01}{2}}=$ = 2.58

Margin of error, E = $0.06

Standard deviation, σ = $0.32

Now,

n = $(\frac{z_{0.005}\sigma}{E})^2$

Here,

n is the sample size (or the minimum number of gas stations )

on substituting the respective values, we get

= $(\frac{z_{0.005}\sigma}{E})^2$

= $(\frac{2.58\times0.32}{0.06})^2$

= 13.76²

= 189.3376 ≈ 190

Hence,

minimum number of gas stations that she should include in her sample is 190

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3 years ago

the five performers who will present their comedy acts this weekend at a comedy club how many different ways are there to schedu

wlad13 [49]

First day 1 in morning after noon and night next day one in morning and night

8 0

4 years ago

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Sixty percent of Company A’s employees are considered top performers. Fifty five percent of Company A’s employees are in a rigor

pickupchik [31]

Not exactly. there are still 40 percent of the employees that are not top performers. for all you know those 40 percent could make up the majority of the employees in the training program<span />

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3 years ago

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Certain circle can be represented by the following equation.

kirill115 [55]

Answer:

Center of the circle is (-9, -7)

Radius of the circle = 5 units

Step-by-step explanation:

Given question is incomplete: here is the complete question.

Certain circle can be represented by the following equation. x^2+y^2+18x+14y+105=0.

What is the center of this circle ?

What is the radius of this circle ?

Since equation of the circle has been given by the equation,

x² + y² + 18x + 14y + 105 = 0

Now we will convert this equation to the standard form of the circle.

x² + 18x + y² + 14y = -105

[x² + 2(9)x] + [y² + 2(7)x] = -105

[x² + 2(9)x + 9²] + [y² + 2(7)y + 7²] = 9² + 7² - 105

(x + 9)² + (y + 7)² = 81 + 49 - 105

(x + 9)² + (y + 7)² = 25

(x + 9)² + (y + 7)² = 5²

By comparing this equation with the standard equation of the circle → (x - h)² + (y - k)² = r²

Center of the circle is (-9, -7) and radius of the circle is 5 units.

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3 years ago

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Leila bought 5 CDs that were each the same price. Including sales tax, she paid a total of $72.50 Each CD had a tax of $0.60 . W

sukhopar [10]

Answer:

$69.50

Step-by-step explanation:

.60 + .60 + .60 + .60 + .60 = 3

72.50 - 3 = $69.50

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3 years ago